Remarks on the fixed point algebras of product type actions on UHF-algebras

Yoshikazu KATAYAMA

doi:10.2969/jmsj/03820275

Yoshikazu KATAYAMA

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JOURNAL FREE ACCESS

1986 Volume 38 Issue 2 Pages 275-284

DOI https://doi.org/10.2969/jmsj/03820275

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Published: 1986 Received: September 19, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) O. Bratteli, Inductive limits of finite dimensional C^*-algebras, Trans. Amer. Math. Soc., 171 (1972), 195-234.
2) O. Bratteli, Crossed products of UHF-algebras by product type actions, Duke Math. J., 46(1979), 1-23.
3) E. Hewitt and K. A. Ross, Abstract harmonic analysis II, Springer-Verlag, 1970.
4) R. Iltis, Some algebraic structure in the dual of compact group, Canad. J. Math., 20(1968), 1499-1510.
5) A. Kishimoto, On the fixed-point-algebra of a UHF-algebra under a periodic automorphism of product type, Publ. Res. Inst. Math. Sci., 13(1977), 777-791.
6) N. J. Munch, The fixed-point algebra of tensor-product actions of finite abelian groups on UHF-algebras, J. Funct. Anal., 52 (1983), 413-419.
7) N. Riedel, Remarks on the fixed point algebras of product type action, Monatsh. Math., 89(1980), 235-242.
8) D. Handelman and W. Rossmann, Product type actions of finite and compact groups, Indiana Univ. Math. J., 33 (1984), 479-509.

Right : [1] O. Bratteli, Inductive limits of finite dimensional C-algebras, Trans. Amer. Math. Soc., 171 (1972), 195-234.
[2] O. Bratteli, Crossed products of UHF-algebras by product type actions, Duke Math. J., 46 (1979), 1-23.
[3] E. Hewitt and K. A. Ross, Abstract harmonic analysis II, Springer-Verlag, 1970.
[4] R. Iltis, Some algebraic structure in the dual of compact group, Canad. J. Math., 20 (1968), 1499-1510.
[5] A. Kishimoto, On the fixed-point-algebra of a UHF-algebra under a periodic automorphism of product type, Publ. Res. Inst. Math. Sci., 13 (1977), 777-791.
[6] N. J. Munch, The fixed-point algebra of tensor-product actions of finite abelian groups on UHF-algebras, J. Funct. Anal., 52 (1983), 413-419.
[7] N. Riedel, Remarks on the fixed point algebras of product type action, Monatsh. Math., 89 (1980), 235-242.
[8] D. Handelman and W. Rossmann, Product type actions of finite and compact groups, Indiana Univ. Math. J., 33 (1984), 479-509.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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